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Finding the Fourth Proportional to 7,675.02, 10,602.84 and 5,156.34

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Solution

The fourth proportional to 7,675.02, 10,602.84 and 5,156.34 is: 7,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.02 : 10,602.84 = 5,156.34 : x
  2. Step 2: Convert to fraction form
    7,675.02/10,602.84 = 5,156.34/x
  3. Step 3: Cross multiply
    7,675.02x = 10,602.84 × 5,156.34
  4. Step 4: Simplify right side
    7,675.02x = 54,671,848.01
  5. Step 5: Solve for x
    x = 54,671,848.01/7,675.02
  6. Step 6: Final answer
    x = 7,123.35

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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.