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Finding the Fourth Proportional to 7,727.66, 10,663.53 and 4,370.30

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Solution

The fourth proportional to 7,727.66, 10,663.53 and 4,370.30 is: 6,030.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.66 : 10,663.53 = 4,370.30 : x
  2. Step 2: Convert to fraction form
    7,727.66/10,663.53 = 4,370.30/x
  3. Step 3: Cross multiply
    7,727.66x = 10,663.53 × 4,370.30
  4. Step 4: Simplify right side
    7,727.66x = 46,602,825.16
  5. Step 5: Solve for x
    x = 46,602,825.16/7,727.66
  6. Step 6: Final answer
    x = 6,030.65

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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.