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Finding the Fourth Proportional to 10,509.26, 14,503.80 and 7,852.06

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Solution

The fourth proportional to 10,509.26, 14,503.80 and 7,852.06 is: 10,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.26 : 14,503.80 = 7,852.06 : x
  2. Step 2: Convert to fraction form
    10,509.26/14,503.80 = 7,852.06/x
  3. Step 3: Cross multiply
    10,509.26x = 14,503.80 × 7,852.06
  4. Step 4: Simplify right side
    10,509.26x = 113,884,596.05
  5. Step 5: Solve for x
    x = 113,884,596.05/10,509.26
  6. Step 6: Final answer
    x = 10,836.60

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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.