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Finding the Fourth Proportional to 12,788.60, 17,646.71 and 7,411.01

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Solution

The fourth proportional to 12,788.60, 17,646.71 and 7,411.01 is: 10,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.60 : 17,646.71 = 7,411.01 : x
  2. Step 2: Convert to fraction form
    12,788.60/17,646.71 = 7,411.01/x
  3. Step 3: Cross multiply
    12,788.60x = 17,646.71 × 7,411.01
  4. Step 4: Simplify right side
    12,788.60x = 130,779,818.99
  5. Step 5: Solve for x
    x = 130,779,818.99/12,788.60
  6. Step 6: Final answer
    x = 10,226.29

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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.