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Finding the Fourth Proportional to 11,752.60, 16,218.36 and 7,038.40

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Solution

The fourth proportional to 11,752.60, 16,218.36 and 7,038.40 is: 9,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.60 : 16,218.36 = 7,038.40 : x
  2. Step 2: Convert to fraction form
    11,752.60/16,218.36 = 7,038.40/x
  3. Step 3: Cross multiply
    11,752.60x = 16,218.36 × 7,038.40
  4. Step 4: Simplify right side
    11,752.60x = 114,151,305.02
  5. Step 5: Solve for x
    x = 114,151,305.02/11,752.60
  6. Step 6: Final answer
    x = 9,712.86

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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.