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Finding the Fourth Proportional to 10,477.24, 15,710.04 and 4,848.76

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Solution

The fourth proportional to 10,477.24, 15,710.04 and 4,848.76 is: 7,270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.24 : 15,710.04 = 4,848.76 : x
  2. Step 2: Convert to fraction form
    10,477.24/15,710.04 = 4,848.76/x
  3. Step 3: Cross multiply
    10,477.24x = 15,710.04 × 4,848.76
  4. Step 4: Simplify right side
    10,477.24x = 76,174,213.55
  5. Step 5: Solve for x
    x = 76,174,213.55/10,477.24
  6. Step 6: Final answer
    x = 7,270.45

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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.