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Finding the Fourth Proportional to 7,707.36, 10,637.52 and 4,565.28

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Solution

The fourth proportional to 7,707.36, 10,637.52 and 4,565.28 is: 6,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.36 : 10,637.52 = 4,565.28 : x
  2. Step 2: Convert to fraction form
    7,707.36/10,637.52 = 4,565.28/x
  3. Step 3: Cross multiply
    7,707.36x = 10,637.52 × 4,565.28
  4. Step 4: Simplify right side
    7,707.36x = 48,563,257.31
  5. Step 5: Solve for x
    x = 48,563,257.31/7,707.36
  6. Step 6: Final answer
    x = 6,300.89

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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.