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Finding the Fourth Proportional to 7,802.28, 11,702.16 and 2,870.70

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Solution

The fourth proportional to 7,802.28, 11,702.16 and 2,870.70 is: 4,305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.28 : 11,702.16 = 2,870.70 : x
  2. Step 2: Convert to fraction form
    7,802.28/11,702.16 = 2,870.70/x
  3. Step 3: Cross multiply
    7,802.28x = 11,702.16 × 2,870.70
  4. Step 4: Simplify right side
    7,802.28x = 33,593,390.71
  5. Step 5: Solve for x
    x = 33,593,390.71/7,802.28
  6. Step 6: Final answer
    x = 4,305.59

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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.