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Finding the Fourth Proportional to 10,655.12, 14,722.12 and 7,665.04

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Solution

The fourth proportional to 10,655.12, 14,722.12 and 7,665.04 is: 10,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.12 : 14,722.12 = 7,665.04 : x
  2. Step 2: Convert to fraction form
    10,655.12/14,722.12 = 7,665.04/x
  3. Step 3: Cross multiply
    10,655.12x = 14,722.12 × 7,665.04
  4. Step 4: Simplify right side
    10,655.12x = 112,845,638.68
  5. Step 5: Solve for x
    x = 112,845,638.68/10,655.12
  6. Step 6: Final answer
    x = 10,590.74

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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.