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Finding the Fourth Proportional to 10,846.40, 14,970.24 and 7,876.16

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Solution

The fourth proportional to 10,846.40, 14,970.24 and 7,876.16 is: 10,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.40 : 14,970.24 = 7,876.16 : x
  2. Step 2: Convert to fraction form
    10,846.40/14,970.24 = 7,876.16/x
  3. Step 3: Cross multiply
    10,846.40x = 14,970.24 × 7,876.16
  4. Step 4: Simplify right side
    10,846.40x = 117,908,005.48
  5. Step 5: Solve for x
    x = 117,908,005.48/10,846.40
  6. Step 6: Final answer
    x = 10,870.70

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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.