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Finding the Fourth Proportional to 10,814.57, 14,925.15 and 6,564.65

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Solution

The fourth proportional to 10,814.57, 14,925.15 and 6,564.65 is: 9,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.57 : 14,925.15 = 6,564.65 : x
  2. Step 2: Convert to fraction form
    10,814.57/14,925.15 = 6,564.65/x
  3. Step 3: Cross multiply
    10,814.57x = 14,925.15 × 6,564.65
  4. Step 4: Simplify right side
    10,814.57x = 97,978,311.32
  5. Step 5: Solve for x
    x = 97,978,311.32/10,814.57
  6. Step 6: Final answer
    x = 9,059.84

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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.