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Finding the Fourth Proportional to 7,718.54, 11,577.75 and 1,875.20

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Solution

The fourth proportional to 7,718.54, 11,577.75 and 1,875.20 is: 2,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.54 : 11,577.75 = 1,875.20 : x
  2. Step 2: Convert to fraction form
    7,718.54/11,577.75 = 1,875.20/x
  3. Step 3: Cross multiply
    7,718.54x = 11,577.75 × 1,875.20
  4. Step 4: Simplify right side
    7,718.54x = 21,710,538.91
  5. Step 5: Solve for x
    x = 21,710,538.91/7,718.54
  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.