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Finding the Fourth Proportional to 10,445.58, 14,415.03 and 5,730.06

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Solution

The fourth proportional to 10,445.58, 14,415.03 and 5,730.06 is: 7,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.58 : 14,415.03 = 5,730.06 : x
  2. Step 2: Convert to fraction form
    10,445.58/14,415.03 = 5,730.06/x
  3. Step 3: Cross multiply
    10,445.58x = 14,415.03 × 5,730.06
  4. Step 4: Simplify right side
    10,445.58x = 82,598,986.80
  5. Step 5: Solve for x
    x = 82,598,986.80/10,445.58
  6. Step 6: Final answer
    x = 7,907.55

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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.