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Finding the Fourth Proportional to 10,652.12, 14,688.48 and 7,464.40

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Solution

The fourth proportional to 10,652.12, 14,688.48 and 7,464.40 is: 10,292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.12 : 14,688.48 = 7,464.40 : x
  2. Step 2: Convert to fraction form
    10,652.12/14,688.48 = 7,464.40/x
  3. Step 3: Cross multiply
    10,652.12x = 14,688.48 × 7,464.40
  4. Step 4: Simplify right side
    10,652.12x = 109,640,690.11
  5. Step 5: Solve for x
    x = 109,640,690.11/10,652.12
  6. Step 6: Final answer
    x = 10,292.85

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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.