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Finding the Fourth Proportional to 7,854.16, 10,837.52 and 5,024.07

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Solution

The fourth proportional to 7,854.16, 10,837.52 and 5,024.07 is: 6,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.16 : 10,837.52 = 5,024.07 : x
  2. Step 2: Convert to fraction form
    7,854.16/10,837.52 = 5,024.07/x
  3. Step 3: Cross multiply
    7,854.16x = 10,837.52 × 5,024.07
  4. Step 4: Simplify right side
    7,854.16x = 54,448,459.11
  5. Step 5: Solve for x
    x = 54,448,459.11/7,854.16
  6. Step 6: Final answer
    x = 6,932.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.