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Finding the Fourth Proportional to 10,143.84, 15,225.36 and 5,530.08

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Solution

The fourth proportional to 10,143.84, 15,225.36 and 5,530.08 is: 8,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.84 : 15,225.36 = 5,530.08 : x
  2. Step 2: Convert to fraction form
    10,143.84/15,225.36 = 5,530.08/x
  3. Step 3: Cross multiply
    10,143.84x = 15,225.36 × 5,530.08
  4. Step 4: Simplify right side
    10,143.84x = 84,197,458.83
  5. Step 5: Solve for x
    x = 84,197,458.83/10,143.84
  6. Step 6: Final answer
    x = 8,300.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.