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Finding the Fourth Proportional to 10,246, 15,372.60 and 5,055.52

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Solution

The fourth proportional to 10,246, 15,372.60 and 5,055.52 is: 7,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246 : 15,372.60 = 5,055.52 : x
  2. Step 2: Convert to fraction form
    10,246/15,372.60 = 5,055.52/x
  3. Step 3: Cross multiply
    10,246x = 15,372.60 × 5,055.52
  4. Step 4: Simplify right side
    10,246x = 77,716,486.75
  5. Step 5: Solve for x
    x = 77,716,486.75/10,246
  6. Step 6: Final answer
    x = 7,585.06

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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.