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Finding the Fourth Proportional to 10,437.49, 15,656.47 and 6,280.98

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Solution

The fourth proportional to 10,437.49, 15,656.47 and 6,280.98 is: 9,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.49 : 15,656.47 = 6,280.98 : x
  2. Step 2: Convert to fraction form
    10,437.49/15,656.47 = 6,280.98/x
  3. Step 3: Cross multiply
    10,437.49x = 15,656.47 × 6,280.98
  4. Step 4: Simplify right side
    10,437.49x = 98,337,935.86
  5. Step 5: Solve for x
    x = 98,337,935.86/10,437.49
  6. Step 6: Final answer
    x = 9,421.61

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