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Finding the Fourth Proportional to 10,788.53, 14,887.80 and 6,071.90

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Solution

The fourth proportional to 10,788.53, 14,887.80 and 6,071.90 is: 8,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,788.53 : 14,887.80 = 6,071.90 : x
  2. Step 2: Convert to fraction form
    10,788.53/14,887.80 = 6,071.90/x
  3. Step 3: Cross multiply
    10,788.53x = 14,887.80 × 6,071.90
  4. Step 4: Simplify right side
    10,788.53x = 90,397,158.38
  5. Step 5: Solve for x
    x = 90,397,158.38/10,788.53
  6. Step 6: Final answer
    x = 8,379.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.