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Finding the Fourth Proportional to 10,473.93, 15,708.47 and 4,931.10

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Solution

The fourth proportional to 10,473.93, 15,708.47 and 4,931.10 is: 7,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.93 : 15,708.47 = 4,931.10 : x
  2. Step 2: Convert to fraction form
    10,473.93/15,708.47 = 4,931.10/x
  3. Step 3: Cross multiply
    10,473.93x = 15,708.47 × 4,931.10
  4. Step 4: Simplify right side
    10,473.93x = 77,460,011.76
  5. Step 5: Solve for x
    x = 77,460,011.76/10,473.93
  6. Step 6: Final answer
    x = 7,395.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.