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Finding the Fourth Proportional to 10,848.42, 14,970.02 and 7,078.82

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Solution

The fourth proportional to 10,848.42, 14,970.02 and 7,078.82 is: 9,768.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,848.42 : 14,970.02 = 7,078.82 : x
  2. Step 2: Convert to fraction form
    10,848.42/14,970.02 = 7,078.82/x
  3. Step 3: Cross multiply
    10,848.42x = 14,970.02 × 7,078.82
  4. Step 4: Simplify right side
    10,848.42x = 105,969,966.73
  5. Step 5: Solve for x
    x = 105,969,966.73/10,848.42
  6. Step 6: Final answer
    x = 9,768.24

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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.