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Finding the Fourth Proportional to 7,478.31, 10,319.93 and 4,075.35

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Solution

The fourth proportional to 7,478.31, 10,319.93 and 4,075.35 is: 5,623.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.31 : 10,319.93 = 4,075.35 : x
  2. Step 2: Convert to fraction form
    7,478.31/10,319.93 = 4,075.35/x
  3. Step 3: Cross multiply
    7,478.31x = 10,319.93 × 4,075.35
  4. Step 4: Simplify right side
    7,478.31x = 42,057,264.94
  5. Step 5: Solve for x
    x = 42,057,264.94/7,478.31
  6. Step 6: Final answer
    x = 5,623.90

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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.