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Finding the Fourth Proportional to 7,246.19, 10,870.14 and 2,565.23

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Solution

The fourth proportional to 7,246.19, 10,870.14 and 2,565.23 is: 3,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.19 : 10,870.14 = 2,565.23 : x
  2. Step 2: Convert to fraction form
    7,246.19/10,870.14 = 2,565.23/x
  3. Step 3: Cross multiply
    7,246.19x = 10,870.14 × 2,565.23
  4. Step 4: Simplify right side
    7,246.19x = 27,884,409.23
  5. Step 5: Solve for x
    x = 27,884,409.23/7,246.19
  6. Step 6: Final answer
    x = 3,848.15

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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.