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Finding the Fourth Proportional to 7,802.70, 11,703.45 and 3,641.46

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Solution

The fourth proportional to 7,802.70, 11,703.45 and 3,641.46 is: 5,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.70 : 11,703.45 = 3,641.46 : x
  2. Step 2: Convert to fraction form
    7,802.70/11,703.45 = 3,641.46/x
  3. Step 3: Cross multiply
    7,802.70x = 11,703.45 × 3,641.46
  4. Step 4: Simplify right side
    7,802.70x = 42,617,645.04
  5. Step 5: Solve for x
    x = 42,617,645.04/7,802.70
  6. Step 6: Final answer
    x = 5,461.91

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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.