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Finding the Fourth Proportional to 7,718.59, 11,577.80 and 1,875.20

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Solution

The fourth proportional to 7,718.59, 11,577.80 and 1,875.20 is: 2,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.59 : 11,577.80 = 1,875.20 : x
  2. Step 2: Convert to fraction form
    7,718.59/11,577.80 = 1,875.20/x
  3. Step 3: Cross multiply
    7,718.59x = 11,577.80 × 1,875.20
  4. Step 4: Simplify right side
    7,718.59x = 21,710,690.56
  5. Step 5: Solve for x
    x = 21,710,690.56/7,718.59
  6. Step 6: Final answer
    x = 2,812.78

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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.