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Finding the Fourth Proportional to 6,970.88, 10,442.65 and 4,043.03

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Solution

The fourth proportional to 6,970.88, 10,442.65 and 4,043.03 is: 6,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.88 : 10,442.65 = 4,043.03 : x
  2. Step 2: Convert to fraction form
    6,970.88/10,442.65 = 4,043.03/x
  3. Step 3: Cross multiply
    6,970.88x = 10,442.65 × 4,043.03
  4. Step 4: Simplify right side
    6,970.88x = 42,219,947.23
  5. Step 5: Solve for x
    x = 42,219,947.23/6,970.88
  6. Step 6: Final answer
    x = 6,056.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.