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Finding the Fourth Proportional to 10,243.47, 15,371.18 and 4,319.99

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Solution

The fourth proportional to 10,243.47, 15,371.18 and 4,319.99 is: 6,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.47 : 15,371.18 = 4,319.99 : x
  2. Step 2: Convert to fraction form
    10,243.47/15,371.18 = 4,319.99/x
  3. Step 3: Cross multiply
    10,243.47x = 15,371.18 × 4,319.99
  4. Step 4: Simplify right side
    10,243.47x = 66,403,322.29
  5. Step 5: Solve for x
    x = 66,403,322.29/10,243.47
  6. Step 6: Final answer
    x = 6,482.50

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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.