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Finding the Fourth Proportional to 7,763.31, 11,646.18 and 2,570.40

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Solution

The fourth proportional to 7,763.31, 11,646.18 and 2,570.40 is: 3,856.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.31 : 11,646.18 = 2,570.40 : x
  2. Step 2: Convert to fraction form
    7,763.31/11,646.18 = 2,570.40/x
  3. Step 3: Cross multiply
    7,763.31x = 11,646.18 × 2,570.40
  4. Step 4: Simplify right side
    7,763.31x = 29,935,341.07
  5. Step 5: Solve for x
    x = 29,935,341.07/7,763.31
  6. Step 6: Final answer
    x = 3,856.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.