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Finding the Fourth Proportional to 10,530.40, 14,526.72 and 6,989.08

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Solution

The fourth proportional to 10,530.40, 14,526.72 and 6,989.08 is: 9,641.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.40 : 14,526.72 = 6,989.08 : x
  2. Step 2: Convert to fraction form
    10,530.40/14,526.72 = 6,989.08/x
  3. Step 3: Cross multiply
    10,530.40x = 14,526.72 × 6,989.08
  4. Step 4: Simplify right side
    10,530.40x = 101,528,408.22
  5. Step 5: Solve for x
    x = 101,528,408.22/10,530.40
  6. Step 6: Final answer
    x = 9,641.46

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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.