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Finding the Fourth Proportional to 7,686.02, 10,602.70 and 4,852.38

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Solution

The fourth proportional to 7,686.02, 10,602.70 and 4,852.38 is: 6,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.02 : 10,602.70 = 4,852.38 : x
  2. Step 2: Convert to fraction form
    7,686.02/10,602.70 = 4,852.38/x
  3. Step 3: Cross multiply
    7,686.02x = 10,602.70 × 4,852.38
  4. Step 4: Simplify right side
    7,686.02x = 51,448,252.15
  5. Step 5: Solve for x
    x = 51,448,252.15/7,686.02
  6. Step 6: Final answer
    x = 6,693.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.