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Finding the Fourth Proportional to 7,802.36, 10,765.80 and 4,398.36

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Solution

The fourth proportional to 7,802.36, 10,765.80 and 4,398.36 is: 6,068.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.36 : 10,765.80 = 4,398.36 : x
  2. Step 2: Convert to fraction form
    7,802.36/10,765.80 = 4,398.36/x
  3. Step 3: Cross multiply
    7,802.36x = 10,765.80 × 4,398.36
  4. Step 4: Simplify right side
    7,802.36x = 47,351,864.09
  5. Step 5: Solve for x
    x = 47,351,864.09/7,802.36
  6. Step 6: Final answer
    x = 6,068.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.