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Finding the Fourth Proportional to 10,526.16, 15,712.08 and 9,280.64

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Solution

The fourth proportional to 10,526.16, 15,712.08 and 9,280.64 is: 13,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,526.16 : 15,712.08 = 9,280.64 : x
  2. Step 2: Convert to fraction form
    10,526.16/15,712.08 = 9,280.64/x
  3. Step 3: Cross multiply
    10,526.16x = 15,712.08 × 9,280.64
  4. Step 4: Simplify right side
    10,526.16x = 145,818,158.13
  5. Step 5: Solve for x
    x = 145,818,158.13/10,526.16
  6. Step 6: Final answer
    x = 13,852.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.