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Finding the Fourth Proportional to 10,814.68, 14,925.78 and 6,567.88

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Solution

The fourth proportional to 10,814.68, 14,925.78 and 6,567.88 is: 9,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.68 : 14,925.78 = 6,567.88 : x
  2. Step 2: Convert to fraction form
    10,814.68/14,925.78 = 6,567.88/x
  3. Step 3: Cross multiply
    10,814.68x = 14,925.78 × 6,567.88
  4. Step 4: Simplify right side
    10,814.68x = 98,030,731.95
  5. Step 5: Solve for x
    x = 98,030,731.95/10,814.68
  6. Step 6: Final answer
    x = 9,064.60

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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.