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Finding the Fourth Proportional to 10,686.30, 14,741.91 and 7,535.58

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Solution

The fourth proportional to 10,686.30, 14,741.91 and 7,535.58 is: 10,395.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.30 : 14,741.91 = 7,535.58 : x
  2. Step 2: Convert to fraction form
    10,686.30/14,741.91 = 7,535.58/x
  3. Step 3: Cross multiply
    10,686.30x = 14,741.91 × 7,535.58
  4. Step 4: Simplify right side
    10,686.30x = 111,088,842.16
  5. Step 5: Solve for x
    x = 111,088,842.16/10,686.30
  6. Step 6: Final answer
    x = 10,395.44

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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.