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Finding the Fourth Proportional to 10,362.58, 14,302.57 and 6,826.10

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Solution

The fourth proportional to 10,362.58, 14,302.57 and 6,826.10 is: 9,421.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.58 : 14,302.57 = 6,826.10 : x
  2. Step 2: Convert to fraction form
    10,362.58/14,302.57 = 6,826.10/x
  3. Step 3: Cross multiply
    10,362.58x = 14,302.57 × 6,826.10
  4. Step 4: Simplify right side
    10,362.58x = 97,630,773.08
  5. Step 5: Solve for x
    x = 97,630,773.08/10,362.58
  6. Step 6: Final answer
    x = 9,421.47

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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.