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Finding the Fourth Proportional to 10,437.86, 14,404.30 and 5,657.88

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Solution

The fourth proportional to 10,437.86, 14,404.30 and 5,657.88 is: 7,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.86 : 14,404.30 = 5,657.88 : x
  2. Step 2: Convert to fraction form
    10,437.86/14,404.30 = 5,657.88/x
  3. Step 3: Cross multiply
    10,437.86x = 14,404.30 × 5,657.88
  4. Step 4: Simplify right side
    10,437.86x = 81,497,840.76
  5. Step 5: Solve for x
    x = 81,497,840.76/10,437.86
  6. Step 6: Final answer
    x = 7,807.91

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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.