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Finding the Fourth Proportional to 7,506, 11,258.80 and 1,959.16

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Solution

The fourth proportional to 7,506, 11,258.80 and 1,959.16 is: 2,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506 : 11,258.80 = 1,959.16 : x
  2. Step 2: Convert to fraction form
    7,506/11,258.80 = 1,959.16/x
  3. Step 3: Cross multiply
    7,506x = 11,258.80 × 1,959.16
  4. Step 4: Simplify right side
    7,506x = 22,057,790.61
  5. Step 5: Solve for x
    x = 22,057,790.61/7,506
  6. Step 6: Final answer
    x = 2,938.69

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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.