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Finding the Fourth Proportional to 10,218.64, 14,102.54 and 5,742.60

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Solution

The fourth proportional to 10,218.64, 14,102.54 and 5,742.60 is: 7,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,218.64 : 14,102.54 = 5,742.60 : x
  2. Step 2: Convert to fraction form
    10,218.64/14,102.54 = 5,742.60/x
  3. Step 3: Cross multiply
    10,218.64x = 14,102.54 × 5,742.60
  4. Step 4: Simplify right side
    10,218.64x = 80,985,246.20
  5. Step 5: Solve for x
    x = 80,985,246.20/10,218.64
  6. Step 6: Final answer
    x = 7,925.25

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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.