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Finding the Fourth Proportional to 7,637.55, 10,538.06 and 4,280.16

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Solution

The fourth proportional to 7,637.55, 10,538.06 and 4,280.16 is: 5,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.55 : 10,538.06 = 4,280.16 : x
  2. Step 2: Convert to fraction form
    7,637.55/10,538.06 = 4,280.16/x
  3. Step 3: Cross multiply
    7,637.55x = 10,538.06 × 4,280.16
  4. Step 4: Simplify right side
    7,637.55x = 45,104,582.89
  5. Step 5: Solve for x
    x = 45,104,582.89/7,637.55
  6. Step 6: Final answer
    x = 5,905.64

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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.