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Finding the Fourth Proportional to 7,848.12, 10,830.02 and 4,706.04

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Solution

The fourth proportional to 7,848.12, 10,830.02 and 4,706.04 is: 6,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.12 : 10,830.02 = 4,706.04 : x
  2. Step 2: Convert to fraction form
    7,848.12/10,830.02 = 4,706.04/x
  3. Step 3: Cross multiply
    7,848.12x = 10,830.02 × 4,706.04
  4. Step 4: Simplify right side
    7,848.12x = 50,966,507.32
  5. Step 5: Solve for x
    x = 50,966,507.32/7,848.12
  6. Step 6: Final answer
    x = 6,494.10

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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.