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Finding the Fourth Proportional to 10,445.76, 14,415.84 and 7,300.80

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Solution

The fourth proportional to 10,445.76, 14,415.84 and 7,300.80 is: 10,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.76 : 14,415.84 = 7,300.80 : x
  2. Step 2: Convert to fraction form
    10,445.76/14,415.84 = 7,300.80/x
  3. Step 3: Cross multiply
    10,445.76x = 14,415.84 × 7,300.80
  4. Step 4: Simplify right side
    10,445.76x = 105,247,164.67
  5. Step 5: Solve for x
    x = 105,247,164.67/10,445.76
  6. Step 6: Final answer
    x = 10,075.59

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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.