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Finding the Fourth Proportional to 10,567.60, 14,583.04 and 5,852.08

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Solution

The fourth proportional to 10,567.60, 14,583.04 and 5,852.08 is: 8,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.60 : 14,583.04 = 5,852.08 : x
  2. Step 2: Convert to fraction form
    10,567.60/14,583.04 = 5,852.08/x
  3. Step 3: Cross multiply
    10,567.60x = 14,583.04 × 5,852.08
  4. Step 4: Simplify right side
    10,567.60x = 85,341,116.72
  5. Step 5: Solve for x
    x = 85,341,116.72/10,567.60
  6. Step 6: Final answer
    x = 8,075.73

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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.