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Finding the Fourth Proportional to 10,652.42, 14,700.37 and 6,405.92

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Solution

The fourth proportional to 10,652.42, 14,700.37 and 6,405.92 is: 8,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.42 : 14,700.37 = 6,405.92 : x
  2. Step 2: Convert to fraction form
    10,652.42/14,700.37 = 6,405.92/x
  3. Step 3: Cross multiply
    10,652.42x = 14,700.37 × 6,405.92
  4. Step 4: Simplify right side
    10,652.42x = 94,169,454.50
  5. Step 5: Solve for x
    x = 94,169,454.50/10,652.42
  6. Step 6: Final answer
    x = 8,840.20

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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.