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Finding the Fourth Proportional to 10,281.86, 14,188.94 and 5,566.12

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Solution

The fourth proportional to 10,281.86, 14,188.94 and 5,566.12 is: 7,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.86 : 14,188.94 = 5,566.12 : x
  2. Step 2: Convert to fraction form
    10,281.86/14,188.94 = 5,566.12/x
  3. Step 3: Cross multiply
    10,281.86x = 14,188.94 × 5,566.12
  4. Step 4: Simplify right side
    10,281.86x = 78,977,342.71
  5. Step 5: Solve for x
    x = 78,977,342.71/10,281.86
  6. Step 6: Final answer
    x = 7,681.23

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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.